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Finding the Fourth Proportional to 531,133.67, 796,935.87 and 278,354

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Solution

The fourth proportional to 531,133.67, 796,935.87 and 278,354 is: 417,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,133.67 : 796,935.87 = 278,354 : x
  2. Step 2: Convert to fraction form
    531,133.67/796,935.87 = 278,354/x
  3. Step 3: Cross multiply
    531,133.67x = 796,935.87 × 278,354
  4. Step 4: Simplify right side
    531,133.67x = 221,830,287,157.98
  5. Step 5: Solve for x
    x = 221,830,287,157.98/531,133.67
  6. Step 6: Final answer
    x = 417,654.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.